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C2 chapter 7

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C2 chapter 7 - geometric sequences

In this chapter you will learn how to spot a geometric sequence and state its common ratio; you will be able to find the nth term of a geometric sequence and find the sum of a geometric series. You will use G.P.s to model problems in contexts that involve proportional growth and decay.

C2 section 7.1

You need to be able to work with ratios, indices, etc. You should revise the work on arithmetic sequences from C1.
By the end of this section you will be able to identify a geometric sequence, find its common ratio and calculate the next few terms in a given sequence.
Examples:

C2 Exercise 7A


C2 section 7.2

You need to be able to work with ratios, indices, etc. You be expected to solve simple linear and quadratic equations and work with surds.
By the end of this section you will be able to calculate a given term in a geometric sequence and find its nth term. The exercise also asks you to apply this knowledge to solve puzzles involving incomplete information about geometric sequences.
Examples:

C2 Exercise 7B


C2 section 7.3

You need to be able to translate worded problems into number and algebra, making good use of tables to organise facts. You should revise the work on logarithms from C2 chapter 3 as this will be essential for some questions.
By the end of this section you will be able to solve real-world problems involving growth and decay using what you know about geometric sequences. This can be used to model financial situations such as interest on savings and depreciation of asset values and in science it is used to model population growth and decline and the radioactive decay of radio isotopes.
Examples:

C2 Exercise 7C


C2 section 7.4

You need to be able to use logs with fluency and have a secure knowledge of sections 7.1 - 7.3 above.
By the end of this section you will be able to find the sum of a geometric series made by adding successive terms in a geometric sequence. You will apply that to a range of pure and contextual problems.
Examples:

C2 Exercise 7D


C2 section 7.5

You need to have a secure knwoledge of sections 7.4 above.
By the end of this section you will be able to find the sum of a gemetric series made by adding successive terms to infinity in a geometric sequence. You will apply that to a range of pure and contextual problems.
Examples:

C2 Exercise 7E
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